Numerical Solution of Generalized Kuramoto–Sivashinsky Equation Using Cubic Trigonometric B-Spline Based Differential Quadrature Method and One-Step Optimized Hybrid Block Method

被引：0
|
作者：
Kaur A. [1 ]
Kanwar V. [2 ]
机构：
[1] Department of Mathematics, Panjab University, Chandigarh
[2] University Institute of Engineering and Technology, Panjab University, Chandigarh
来源：
International Journal of Applied and Computational Mathematics | 2022年 / 8卷 / 1期
关键词：
Cubic trigonometric B-splines; Differential quadrature; Hybrid block method; Kuramoto–Sivashinsky equation;
D O I：
10.1007/s40819-021-01220-1
中图分类号：
学科分类号：
摘要：
A novel combination of two schemes has been implemented to determine the approximate solution of Kuramoto–Sivashinsky equation. Differential quadrature method using well-known cubic trigonometric B-splines is adapted in space to obtain a system of initial value problems and reformulated one-step optimized hybrid block method is constructed to deal with the resulted system. A stability and convergence analysis of the method is discussed in detail. Numerical findings corroborate the accuracy and better performance of the proposed method. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
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